13653238001040 has 400 divisors, whose sum is σ = 54773583194880. Its totient is φ = 3115177021440.

The previous prime is 13653238001027. The next prime is 13653238001113. The reversal of 13653238001040 is 4010083235631.

13653238001040 is a `hidden beast` number, since 1 + 3 + 6 + 532 + 3 + 80 + 0 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13653238000986 and 13653238001004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4421880 + ... + 6845399.

Almost surely, 2^{13653238001040} is an apocalyptic number.

13653238001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13653238001040 is an abundant number, since it is smaller than the sum of its proper divisors (41120345193840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13653238001040 is a wasteful number, since it uses less digits than its factorization.

13653238001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267332 (or 11267317 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13653238001040 in words is "thirteen trillion, six hundred fifty-three billion, two hundred thirty-eight million, one thousand, forty".